12304320787200 has 432 divisors, whose sum is σ = 43926722954240. Its totient is φ = 3015160381440.

The previous prime is 12304320787151. The next prime is 12304320787217. The reversal of 12304320787200 is 278702340321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55550271 + ... + 55771329.

Almost surely, 2^{12304320787200} is an apocalyptic number.

12304320787200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12304320787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963361477120).

12304320787200 is an abundant number, since it is smaller than the sum of its proper divisors (31622402167040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12304320787200 is a wasteful number, since it uses less digits than its factorization.

12304320787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221324 (or 221305 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 12304320787200 in words is "twelve trillion, three hundred four billion, three hundred twenty million, seven hundred eighty-seven thousand, two hundred".